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Finding the Third Proportional to 25,287 and 38,985

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Solution

The third proportional to 25,287 and 38,985 is: 60,103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287 : 38,985 = 38,985 : x
  2. Step 2: Convert to fraction form
    25,287/38,985 = 38,985/x
  3. Step 3: Cross multiply
    25,287x = 38,985 × 38,985
  4. Step 4: Simplify right side
    25,287x = 1,519,830,225
  5. Step 5: Solve for x
    x = 1,519,830,225/25,287
  6. Step 6: Final answer
    x = 60,103.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.